Summing planar open string loops on a worldsheet lattice with Dirichlet and Neumann boundaries
- School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540, USA and Institute for Fundamental Theory, Department of Physics, University of Florida, Gainesville, Florida 32611 (United States)
We extend the lightcone worldsheet lattice approach to string theory, proposed in 1977 by Giles and me, to allow for coincident D-branes. We find a convenient lattice representation of Dirichlet boundary conditions, which the open string coordinates transverse to the D-branes satisfy. We then represent the sum over all planar open string multiloop diagrams by introducing an Ising spin system on the worldsheet lattice to keep track of the presence or absence of fluctuating boundaries. Finally we discuss a simple mean field treatment of the resulting coupled Ising/coordinate worldsheet system. The interplay between Neumann and Dirichlet boundary conditions leads to a richer phase structure, within this mean field approximation, than that found by Orland for the original system with only Neumann conditions.
- OSTI ID:
- 21325428
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 80, Issue 8; Other Information: DOI: 10.1103/PhysRevD.80.086010; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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